N.M. Stat. § 39-1-1
Any judgment, or decree, except in cases where trial by jury is necessary, may be rendered by the judge of the district court at any place where he may be in this state, and the district courts, except for jury trials, are declared to be at all times in session for all purposes, including the naturalization of aliens. Interlocutory orders may be made by such judge wherever he may be in the state, on notice, where notice is required, which notice, if outside of his district, may be enlarged beyond the statutory notice, for such time as the court shall deem proper. Final judgments and decrees, entered by district courts in all cases tried pursuant to the provisions of this section shall remain under the control of such courts for a period of thirty days after the entry thereof, and for such further time as may be necessary to enable the court to pass upon and dispose of any motion which may have been filed within such period, directed against such judgment; provided, that if the court shall fail to rule upon such motion within thirty days after the filing thereof, such failure to rule shall be deemed a denial thereof; and, provided further, that the provisions of this section shall not be construed to amend, change, alter or repeal the provisions of Sections 4227 or 4230, Code 1915.
NMS § 39-1-1